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The number 62825

62825 is a composite number with 12 divisors. Its prime factorisation is 525^{2} × 7 × 359. Divisors (12): 1, 5, 7, 25, 35, 175, 359, 1795, 2513, 8975, 12565, 62825.

Number

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How to work it out

  1. 1

    What is special about 62825: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    62825 is composite. Its prime factorisation is

    62825=52×7×35962825 = 5^{2} \times 7 \times 359
  3. 3

    The divisors add up to 89280; without 62825 itself that is 26455, so 62825 is deficient (26455 is less than 62825). Euler's totient φ(62825) = 42960 numbers up to 62825 share no factor with it.

  4. 4

    The digits of 62825 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 86 steps to reach 1.

LaTeX source of the formulas on this page
\[ 62825 = 5^{2} \times 7 \times 359 \]

62825 at a glance

PropertyValue
Typecomposite
Number of divisors12
Sum of divisors89280
Euler totient φ(n)42960
Square3946980625
Cube247969057765625
Square root250.649157 (= 5√2513)
Digit sum / digital root23 / 5
Collatz steps to 186
Scientific notation6.2825 × 10410^{4}

62825 in other forms

FormValue
In wordssixty-two thousand eight hundred and twenty-five
Binary (base 2)1111010101101001
Octal (base 8)172551
Hexadecimal (base 16)F569
Base 310012011212
As time62825 seconds = 17 h 27 min 5 s

Is 62825 divisible by 2 to 12?

DivisorAnswerRule
2No (remainder 1)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3No (remainder 2)A number is divisible by 3 if the digits add up to a multiple of 3.
4No (remainder 1)A number is divisible by 4 if the last two digits make a multiple of 4.
5Yes (62825 ÷ 5 = 12565)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 5)A number is divisible by 6 if it is divisible by both 2 and 3.
7Yes (62825 ÷ 7 = 8975)A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7.
8No (remainder 1)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 5)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 5)A number is divisible by 10 if the last digit is 0.
11No (remainder 4)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 5)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 62825 a prime number?

No. 62825 = 525^{2} × 7 × 359, so it is divisible by 5.

What are the factors of 62825?

1, 5, 7, 25, 35, 175, 359, 1795, 2513, 8975, 12565, 62825.

What is 62825 in binary?

1111010101101001 (hexadecimal F569, octal 172551).

What is the square root of 62825?

About 250.6492, exactly 5√2513.

Is 62825 divisible by 3?

No. Its digits add up to 23, which is not a multiple of 3.

What is special about the number 62825?

62825 is a happy number: repeatedly adding the squares of its digits reaches 1.

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